Horizontal 2D fully dispersive nonlinear mild slope equations
Horizontal 2D fully dispersive nonlinear mild slope equations
复制标题
水平二维全色散非线性缓坡方程
DOI：
10.1016/j.oceaneng.2016.10.034
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发表时间：
2017
影响因子：
5
通讯作者：
Zou Zhili
中科院分区：
文献类型：
--
作者：
Zou Zhili
建立了一组针对缓坡底部的具有四阶非线性的水平二维全色散波动方程。该方程为积分微分型，通过使用傅里叶积分来表达速度势并应用静水位上水平和垂直流速之间的关系来制定。通过引入底部坡度项加上底部快速起伏项来处理底部变化；前者考虑了平均坡度的影响，后者考虑了平均坡度周围底部快速波动的影响。对于底部快速波动项的核函数，提出了两种方法。该模型的线性版本可以看作是传统缓坡方程到宽带非线性模型的扩展。研究了方程组积分项的数值计算，以提高计算效率。数值算例验证了模型模拟非线性波浪演化的能力，并说明了地形变化对波浪运动的影响。
A set of horizontal 2D fully dispersive wave equations with fourth order nonlinearity for mild slope bottom is developed. The equations are of integral-differential type, formulated by using a Fourier integral to express the velocity potential and by applying the relation between horizontal and vertical flow velocities on still water level. The bottom variation is treated by introducing the bottom slope terms plus bottom rapidly undulating terms; the former account for the effect of mean slope and the latter for the effect of bottom rapid undulation around the mean slope. Two approaches are proposed for the kernel functions of bottom rapidly undulating terms. The linear version of the model can be seen as the extension of conventional mild slope equation to the broad-banded and nonlinear model. The numerical computation for the integral term of the equations is studied to increase the computational efficiency. The numerical examples are presented to validate the abilities of the model to simulate the nonlinear wave evolution and to illustrate the effects of varying topography on wave motions.
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影响因子：
5
作者：
K. Yan;Z. Zou;Yalong Zhou
通讯作者：
K. Yan;Z. Zou;Yalong Zhou
DOI：
10.1061/(asce)0733-950x(1990)116:3(324
发表时间：
1990-05
期刊：
Journal of Waterway Port Coastal and Ocean Engineering-asce
影响因子：
--
作者：
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通讯作者：
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DOI：
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发表时间：
1997-02
期刊：
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
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作者：
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通讯作者：
S. Beji;K. Nadaoka
影响因子：
1.8
作者：
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通讯作者：
M. Yates;M. Benoit
DOI：
10.1061/(asce)0733-950x(2009)135:5(187
发表时间：
2009-09
期刊：
Journal of Waterway Port Coastal and Ocean Engineering-asce
影响因子：
--
作者：
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通讯作者：
T. Karambas;C. Memos